混合量子经典系统的熵和正则系综
Entropy and canonical ensemble of hybrid quantum classical systems
摘要：
在这项工作中，我们推广和结合吉布斯和冯诺依曼的方法来建立，第一次，严格的定义熵的混合量子经典系统。当考虑适当的极限时，所得函数与上述两种情况一致。然后，我们将MaxEnt原理应用于该混合熵函数，并获得混合正则熵（HCE）的自然候选。我们证明了合适的经典和量子极限的HCE符合通常的经典和量子正则系综，因为整个计划承认这两个限制，从而表明，MaxEnt原则是适用的和一致的混合系统。
英文摘要：
In this work we generalize and combine Gibbs and von Neumann approaches to build, for the first time, a rigorous definition of entropy for hybrid quantum-classical systems. The resulting function coincides with the two cases above when the suitable limits are considered. Then, we apply the MaxEnt principle for this hybrid entropy function and obtain the natural candidate for the Hybrid Canonical Ensemble (HCE). We prove that the suitable classical and quantum limits of the HCE coincide with the usual classical and quantum canonical ensembles since the whole scheme admits both limits, thus showing that the MaxEnt principle is applicable and consistent for hybrid systems.
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